Bibliografie
Journal Article
Nonlinear elasticity with vanishing nonlocal self-repulsion
,
: Proceedings of the Royal Society of Edinburgh. A - Mathematics
: GF21-06569K, GA ČR, GF19-29646L, GA ČR
: nonlinear elasticity, local injectivity, global injectivity, Ciarlet–Nečas condition, nonlocal self-repulsion, Sobolev–Slobodeckii seminorm
: http://library.utia.cas.cz/separaty/2024/MTR/kromer-0579645.pdf
(eng): We prove that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as constraint can be obtained in the Γ -limit of the elastic energy with an added nonlocal self-repulsion term with asymptocially vanishing coefficient. The self-repulsion term considered here formally coincides with a Sobolev–Slobodeckiĭ seminorm of the inverse deformation. Variants near the boundary or on the surface of the domain are also studied.\n
: BA
: 10102